Answer:
3
Step-by-step explanation:
The given data shows that only 1 row was in use. We also know that Mr. Torres is an adult. So for the ease, lets use A for Adult and S for student.
The seating must fulfill the requirements that 4 students must be between adults such that it would be "A-S-S-S-S-A"
On a row of 11 seats, this should be the searing arrangements.
A-S-S-S-S-A-S-S-S-S-A ( for 1 row).
Mr. Torres could be any A .
Answer:
0 < k < 2
Step-by-step explanation:
<u>In the first quadrant both of x and y get positive values, so </u>
<u>And replacing x with 2k in the second equation:</u>
- 3x + 2y = 12
- 3*2k + 2y = 12
- 2y= 12 - 6k
- y = 6 - 3k
<u>Since y > 0:</u>
<u>Combining both k > 0 and k < 2, we get:</u>
Answer:
the new scale is the same length as the original scale
Answer:
a) (0.5256,0.5944)
c) Criticism is invalid
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 560
Proportion of mislabeled = 56%

a) 90% Confidence interval:


Putting the values, we get:

b) Interpretation of confidence interval:
We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.
c) Validity of criticism
Conditions for validity:

Verification:

Both the conditions are satisfied. This, the criticism is invalid.
Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this helps!!